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Finding the Fourth Proportional to 45,642.40, 62,985.72 and 25,498

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Solution

The fourth proportional to 45,642.40, 62,985.72 and 25,498 is: 35,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,642.40 : 62,985.72 = 25,498 : x
  2. Step 2: Convert to fraction form
    45,642.40/62,985.72 = 25,498/x
  3. Step 3: Cross multiply
    45,642.40x = 62,985.72 × 25,498
  4. Step 4: Simplify right side
    45,642.40x = 1,606,009,888.56
  5. Step 5: Solve for x
    x = 1,606,009,888.56/45,642.40
  6. Step 6: Final answer
    x = 35,186.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.